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Finding the Fourth Proportional to 533,845,643.80, 800,768,465.70 and 419,183,858.20

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Solution

The fourth proportional to 533,845,643.80, 800,768,465.70 and 419,183,858.20 is: 628,775,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,845,643.80 : 800,768,465.70 = 419,183,858.20 : x
  2. Step 2: Convert to fraction form
    533,845,643.80/800,768,465.70 = 419,183,858.20/x
  3. Step 3: Cross multiply
    533,845,643.80x = 800,768,465.70 × 419,183,858.20
  4. Step 4: Simplify right side
    533,845,643.80x = 335,669,214,977,020,352
  5. Step 5: Solve for x
    x = 335,669,214,977,020,352/533,845,643.80
  6. Step 6: Final answer
    x = 628,775,787.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.